How to Find GCF of 5769/292, 1655/8236?

GCF of 5769/292, 1655/8236

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5769/292, 1655/8236 i.e 1/601228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5769/292, 1655/8236.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5769/292,1655/8236?

Given fractions are 5769/292,1655/8236

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5769/292,1655/8236, numerators are 5769,1655

Denominators are 292,8236

The GCF of 5769,1655 is 1 .

LCM of 292,8236 is 601228.

The greatest common factor of 5769/292,1655/8236 = [GCF of 5769,1655]/[LCM of 292,8236]= 1/601228

Therefore, the GCF of 5769/292,1655/8236 is 1/601228.

Greatest Common Factor of 5769,1655

To find the highest common factor of 5769,1655, we have to find the factors of both numbers and list the highest common factor.

The factors of 5769 are 1, 3, 9, 641, 1923, 5769

The factors of 1655 are 1, 5, 331, 1655

The HCF of 5769,1655 is 1.

Lets's calculate GCF of 5769,1655

Greatest Common Factor (GCF) of 5769,1655 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5769,1655 By Matching Biggest Common Factor Method

Now, list down the factors of 5769

1,3,9,641,1923,5769

Now, list down the factors of 1655

1,5,331,1655

Greatest Common Factor

We found the factors 5769,1655 . The biggest common factor number is the GCF number.
So the greatest common factor 5769,1655 is 1.

Lets's calculate LCM of 292,8236

Lowest Common Multiple of 292,8236 using Common Division

2	292, 8236
2	146, 4118
	73, 2059

∴ So the LCM of the given numbers is 2 x 2 x 73 x 2059 = 601228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/601228

Therefore, the GCF of Fractions 5769/292,1655/8236 is 1/601228

Least Common Multiple of 292,8236 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 292,8236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,8236) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(292,8236) x common factors =4 x 1 = 4

LCM(292,8236) = ( 292 × 8236 ) / 4

LCM(292,8236) = 2404912 / 4

LCM(292,8236) = 601228

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FAQs on GCF of Fractions of 5769/292, 1655/8236

1. What is the HCF of 5769,1655?

The HCF of 5769,1655 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5769/292, 1655/8236?

Answer: GCF of Numerators as per given numbers 5769/292, 1655/8236 is

GCF of Numerators i.e. for 5769,1655 is 1

LCM of denominators i.e. for 292,8236 is 601228.

Thus, GCF of Fractions is 1/601228.Finally, GCF of Fractions for 5769/292, 1655/8236 is 1/601228.